8864406144 has 96 divisors (see below), whose sum is σ = 27827223840. Its totient is φ = 2686179840.

The previous prime is 8864406139. The next prime is 8864406181. The reversal of 8864406144 is 4416044688.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 8864406144.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 337092 + ... + 362435.

It is an arithmetic number, because the mean of its divisors is an integer number (289866915).

Almost surely, 2^8864406144 is an apocalyptic number.

It is an amenable number.

8864406144 is an abundant number, since it is smaller than the sum of its proper divisors (18962817696).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8864406144 is a wasteful number, since it uses less digits than its factorization.

8864406144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 699558 (or 699543 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The square root of 8864406144 is about 94150.9752684485. The cubic root of 8864406144 is about 2069.5847490226.

The spelling of 8864406144 in words is "eight billion, eight hundred sixty-four million, four hundred six thousand, one hundred forty-four".